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Motion In A Plane

Question
CBSEENPH11018422

A particle has the following displacements in succession i) 12 m towards east ii) 5 m towards north and iii) 6 m vertically. Find the magnitude of the resultant displacement? 

Solution

Here, we have 
x = 12 m ; y = 5 m ; z = 6m
Then, resultant vector is given by, 
r = (x2 + y2 + z21/2
   = ( 122 + 52 + 62)1/2
   = (205)1/2
   = 14.31 m